Explain the smallest index rule to find the optimal tableau, Operation Management

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Consider the LP
z¤ = max x1 + x2 + 2x3
s.t. x1 + 5x2 + 4x3 • 60
2x1 + 3x2 + 2x3 • 90
xi ¸ 0 8 i = 1; :::; 3:
(a) Use the simplex method and follow the smallest index rule to find the optimal tableau.

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